Extensions 1→N→G→Q→1 with N=C20.48D4 and Q=C2

Direct product G=N×Q with N=C20.48D4 and Q=C2
dρLabelID
C2×C20.48D4160C2xC20.48D4320,1456

Semidirect products G=N:Q with N=C20.48D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.48D41C2 = D20.31D4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:1C2320,358
C20.48D42C2 = C4030D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:2C2320,741
C20.48D43C2 = C232Dic10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:3C2320,1155
C20.48D44C2 = C24.30D10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:4C2320,1166
C20.48D45C2 = C10.62- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:5C2320,1187
C20.48D46C2 = D4×Dic10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:6C2320,1209
C20.48D47C2 = D45Dic10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:7C2320,1211
C20.48D48C2 = C42.105D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:8C2320,1213
C20.48D49C2 = D46Dic10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:9C2320,1215
C20.48D410C2 = D2023D4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:10C2320,1222
C20.48D411C2 = C4216D10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:11C2320,1228
C20.48D412C2 = C42.115D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:12C2320,1233
C20.48D413C2 = C42.118D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:13C2320,1236
C20.48D414C2 = C10.812- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:14C2320,1323
C20.48D415C2 = C10.692+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:15C2320,1339
C20.48D416C2 = D20.32D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:16C2320,360
C20.48D417C2 = C24.31D10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:17C2320,1167
C20.48D418C2 = C10.102+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:18C2320,1183
C20.48D419C2 = C42.106D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:19C2320,1214
C20.48D420C2 = D2024D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:20C2320,1223
C20.48D421C2 = Dic1023D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:21C2320,1224
C20.48D422C2 = C10.632+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:22C2320,1332
C20.48D423C2 = C10.842- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:23C2320,1334
C20.48D424C2 = C52C823D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:24C2320,668
C20.48D425C2 = C4.(D4×D5)φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:25C2320,669
C20.48D426C2 = (C5×D4).31D4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:26C2320,845
C20.48D427C2 = (C5×D4).32D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:27C2320,866
C20.48D428C2 = C10.52- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:28C2320,1185
C20.48D429C2 = C42.94D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:29C2320,1201
C20.48D430C2 = C42.98D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:30C2320,1205
C20.48D431C2 = C4⋊C4.178D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:31C2320,1272
C20.48D432C2 = C10.362+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:32C2320,1275
C20.48D433C2 = C4⋊C421D10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:33C2320,1278
C20.48D434C2 = C10.392+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:34C2320,1280
C20.48D435C2 = D5×C22⋊Q8φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:35C2320,1298
C20.48D436C2 = C10.162- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:36C2320,1300
C20.48D437C2 = C24.42D10φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:37C2320,1478
C20.48D438C2 = Q8×C5⋊D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:38C2320,1487
C20.48D439C2 = C10.1042- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:39C2320,1496
C20.48D440C2 = C10.1072- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:40C2320,1503
C20.48D441C2 = C402D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:41C2320,761
C20.48D442C2 = C42.99D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:42C2320,1206
C20.48D443C2 = C10.352+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:43C2320,1274
C20.48D444C2 = C10.462+ 1+4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:44C2320,1289
C20.48D445C2 = C10.742- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:45C2320,1293
C20.48D446C2 = C10.512+ 1+4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4:46C2320,1306
C20.48D447C2 = C10.582+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:47C2320,1318
C20.48D448C2 = C10.1052- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:48C2320,1497
C20.48D449C2 = C10.1472+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4:49C2320,1505
C20.48D450C2 = C42.277D10φ: trivial image160C20.48D4:50C2320,1151
C20.48D451C2 = C24.72D10φ: trivial image80C20.48D4:51C2320,1463

Non-split extensions G=N.Q with N=C20.48D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C20.48D4.1C2 = C23.30D20φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4.1C2320,25
C20.48D4.2C2 = C23.34D20φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.2C2320,348
C20.48D4.3C2 = C23.35D20φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.3C2320,349
C20.48D4.4C2 = C22⋊Dic20φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.4C2320,366
C20.48D4.5C2 = C40.82D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.5C2320,743
C20.48D4.6C2 = C10.12- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.6C2320,1172
C20.48D4.7C2 = C4⋊Dic5⋊C4φ: C2/C1C2 ⊆ Out C20.48D480C20.48D4.7C2320,10
C20.48D4.8C2 = C23.10D20φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.8C2320,350
C20.48D4.9C2 = C4⋊C4.230D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.9C2320,597
C20.48D4.10C2 = C4⋊C4.231D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.10C2320,598
C20.48D4.11C2 = C4⋊C4.233D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.11C2320,623
C20.48D4.12C2 = (C2×C10)⋊Q16φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.12C2320,678
C20.48D4.13C2 = C5⋊(C8.D4)φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.13C2320,679
C20.48D4.14C2 = (C2×C10)⋊8Q16φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.14C2320,855
C20.48D4.15C2 = (Q8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.15C2320,1294
C20.48D4.16C2 = C10.152- 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.16C2320,1297
C20.48D4.17C2 = C40.4D4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.17C2320,764
C20.48D4.18C2 = C42.89D10φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.18C2320,1190
C20.48D4.19C2 = C10.502+ 1+4φ: C2/C1C2 ⊆ Out C20.48D4160C20.48D4.19C2320,1295
C20.48D4.20C2 = C42.274D10φ: trivial image160C20.48D4.20C2320,1142

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